Search a number
-
+
12023001320121 = 32111066311389333
BaseRepresentation
bin1010111011110101001010…
…1110010000101010111001
31120120101110122010020020200
42232331102232100222321
53033441101314220441
641323142432112413
72350430116010601
oct256752256205271
946511418106220
1012023001320121
113915a20896080
12142217a995709
136929c1b2188c
142d7cb8731c01
1515cb2c3e17b6
hexaef52b90ab9

12023001320121 has 24 divisors (see below), whose sum is σ = 18947113813056. Its totient is φ = 7285983467040.

The previous prime is 12023001320101. The next prime is 12023001320129. The reversal of 12023001320121 is 12102310032021.

12023001320121 is a `hidden beast` number, since 1 + 20 + 2 + 300 + 1 + 320 + 1 + 21 = 666.

It is not a de Polignac number, because 12023001320121 - 210 = 12023001319097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12023001320094 and 12023001320103.

It is not an unprimeable number, because it can be changed into a prime (12023001320129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639030 + ... + 6750303.

It is an arithmetic number, because the mean of its divisors is an integer number (789463075544).

Almost surely, 212023001320121 is an apocalyptic number.

12023001320121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023001320121 is a deficient number, since it is larger than the sum of its proper divisors (6924112492935).

12023001320121 is a wasteful number, since it uses less digits than its factorization.

12023001320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400013 (or 11400010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12023001320121 its reverse (12102310032021), we get a palindrome (24125311352142).

The spelling of 12023001320121 in words is "twelve trillion, twenty-three billion, one million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 10663 31989 95967 117293 351879 1055637 11389333 34167999 102503997 125282663 375847989 1127543967 121444457779 364333373337 1093000120011 1335889035569 4007667106707 12023001320121